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Finding the Third Proportional to 71,635.50 and 153,842.63

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Solution

The third proportional to 71,635.50 and 153,842.63 is: 330,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,635.50 : 153,842.63 = 153,842.63 : x
  2. Step 2: Convert to fraction form
    71,635.50/153,842.63 = 153,842.63/x
  3. Step 3: Cross multiply
    71,635.50x = 153,842.63 × 153,842.63
  4. Step 4: Simplify right side
    71,635.50x = 23,667,553,266.89
  5. Step 5: Solve for x
    x = 23,667,553,266.89/71,635.50
  6. Step 6: Final answer
    x = 330,388.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.